What is the Greatest Common Factor of 46848 and 46867?

Greatest common factor (GCF) of 46848 and 46867 is 1.

GCF(46848,46867) = 1

We will now calculate the prime factors of 46848 and 46867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46848 and 46867.

How to find the GCF of 46848 and 46867?

We will first find the prime factorization of 46848 and 46867. After we will calculate the factors of 46848 and 46867 and find the biggest common factor number .

Step-1: Prime Factorization of 46848

Prime factors of 46848 are 2, 3, 61. Prime factorization of 46848 in exponential form is:

46848 = 2⁸ × 3¹ × 61¹

Step-2: Prime Factorization of 46867

Prime factors of 46867 are 46867. Prime factorization of 46867 in exponential form is:

46867 = 46867¹

Step-3: Factors of 46848

List of positive integer factors of 46848 that divides 46848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 256, 366, 384, 488, 732, 768, 976, 1464, 1952, 2928, 3904, 5856, 7808, 11712, 15616, 23424

Step-4: Factors of 46867

List of positive integer factors of 46867 that divides 46848 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46848 and 46867. The biggest common factor number is the GCF number.
So the greatest common factor 46848 and 46867 is 1.

Also check out the Least Common Multiple of 46848 and 46867